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9456 = 243197
BaseRepresentation
bin10010011110000
3110222020
42103300
5300311
6111440
736366
oct22360
913866
109456
117117
125580
1343c5
143636
152c06
hex24f0

9456 has 20 divisors (see below), whose sum is σ = 24552. Its totient is φ = 3136.

The previous prime is 9439. The next prime is 9461. The reversal of 9456 is 6549.

It can be divided in two parts, 9 and 456, that added together give a triangular number (465 = T30).

9456 = T23 + T24 + ... + T40.

9456 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

9456 is an undulating number in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51 + ... + 146.

29456 is an apocalyptic number.

9456 is the 62-nd centered pentagonal number.

It is an amenable number.

9456 is an abundant number, since it is smaller than the sum of its proper divisors (15096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276).

9456 is a wasteful number, since it uses less digits than its factorization.

9456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 9456 is about 97.2419662491. The cubic root of 9456 is about 21.1463697249.

The spelling of 9456 in words is "nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 197 394 591 788 1182 1576 2364 3152 4728 9456